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Finding the Third Proportional to 1,639,559,366 and 3,570,230,224

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Solution

The third proportional to 1,639,559,366 and 3,570,230,224 is: 7,774,371,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639,559,366 : 3,570,230,224 = 3,570,230,224 : x
  2. Step 2: Convert to fraction form
    1,639,559,366/3,570,230,224 = 3,570,230,224/x
  3. Step 3: Cross multiply
    1,639,559,366x = 3,570,230,224 × 3,570,230,224
  4. Step 4: Simplify right side
    1,639,559,366x = 12,746,543,852,363,089,920
  5. Step 5: Solve for x
    x = 12,746,543,852,363,089,920/1,639,559,366
  6. Step 6: Final answer
    x = 7,774,371,649.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.